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Thursday, 3 November 2011

Puzzle-16 (NASSCOM- Sample Problems)

Five students A, B, C, D and E were comparing the scores each received
on a Math and English test. The following was discovered that A’s English score
was 80. A’s Math score equals E’s English score. E’s Math score equals A’s
English score. A’s English score is 15 less than E’s English score. D’s Math
score is 20 more than his English score and is 20 more than C’s Math score. D’s
Math score is 40 more than B’s Engllish score. C’s English score is 10 less
than B’s English Score. If B’s English score is 60, what is D’s English score?

(1) 80 (2)
70 (3)
60 (4)
50

Solution
follows here:

Solution:

Just put all the sentences in the form of equations:

EA = 80 MA
= EE ME
= EA EE-EA
= 15 MD-ED = 20

MD-MC = 20 MD-EB
= 40 EB-EC
= 10 EB = 60 ED = ?

ED = MD-20 = (40+ EB)-20 = (40+ 60)-20
= 80

Observe that only 3 equations which are coloured
are used to get the answer.